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Finding the Third Proportional to 289,656 and 605,772

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Solution

The third proportional to 289,656 and 605,772 is: 1,266,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656 : 605,772 = 605,772 : x
  2. Step 2: Convert to fraction form
    289,656/605,772 = 605,772/x
  3. Step 3: Cross multiply
    289,656x = 605,772 × 605,772
  4. Step 4: Simplify right side
    289,656x = 366,959,715,984
  5. Step 5: Solve for x
    x = 366,959,715,984/289,656
  6. Step 6: Final answer
    x = 1,266,881.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.